On a pentagonal lot, when interior angles are put in increasing order, each differs from the next by 5 degrees. Find the measure of the smallest interior angle of the field

Select the appropriate response:

A) 118

B) 98

C) 103

D) 108

Question

Mathematics

First Mate

21 January, 18:33

On a pentagonal lot, when interior angles are put in increasing order, each differs from the next by 5 degrees. Find the measure of the smallest interior angle of the field

Select the appropriate response:

A) 118

B) 98

C) 103

D) 108

+2

Answers (1)

Know the Answer?

Carmen Hudson · Answer 1

B) 98°

Step-by-step explanation:

Sum of interior angles of a Pentagon:

(5 - 2) * 180

540

Let the smallest angle be x

x + x+5 + x+10 + x+15 + x+20 = 540

5x + 50 = 540

5x = 490

x = 98°

On a pentagonal lot, when interior angles are put in increasing order, each differs from the next by 5 degrees. Find the measure of the smallest interior angle of the fieldSelect the appropriate response:A) 118B) 98C) 103D) 108

On a pentagonal lot, when interior angles are put in increasing order, each differs from the next by 5 degrees. Find the measure of the smallest interior angle of the field

Select the appropriate response:

A) 118

B) 98

C) 103

D) 108